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The ∞-Fucík spectrum

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2018Publisher:Finnish Mathematical SocietyJournal:Annales Academiae Scientiarum Fennicae Mathematica, volume 43, pages 293-310 (issn: 1239-629X, eissn: 1798-2383, Copyright policy )
Authors: Rossi, Julio Daniel; Salort, Ariel Martin; Da Silva, Joao Vitor;

doi: 10.5186/aasfm.2018.4317

handle: 11336/88994 , 11336/92965

The ∞-Fucík spectrum

Abstract

Fil: Salort, Ariel Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina

Fil: Da Silva, Joao Vitor. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina

Fil: Rossi, Julio Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina

In this article we study the behavior as p % +∞ of the Fučik spectrum for pLaplace operator with zero Dirichlet boundary conditions in a bounded domain Ω ⊂ Rn. We characterize the limit equation, and we provide a description of the limit spectrum. Furthermore, we show some explicit computations of the spectrum for certain configurations of the domain

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Keywords

INFINITY-LAPLACIAN OPERATOR, Infinity-Laplacian operator.1, https://purl.org/becyt/ford/1.1, Fucik spectrum, https://purl.org/becyt/ford/1, FUCIK SPECTRUM, DEGENERATE FULLY NONLINEAR ELLIPTIC EQUATIONS, Degenerate fully nonlinear elliptic equations,

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
gold